Non-integrability of density perturbations in the FRW universe
Stachowiak, Tomasz ; Szydlowski, Marek ; Maciejewski, Andrzej J.
arXiv, 0508119 / Harvested from arXiv
Text on arXiv
We investigate the evolution equation of linear density perturbations in the Friedmann-Robertson-Walker universe with matter, radiation and the cosmological constant. The concept of solvability by quadratures is defined and used to prove that there are no "closed form" solutions except for the known Chernin, Heath, Meszaros and simple degenerate ones. The analysis is performed applying Kovacic's algorithm. The possibility of the existence of other, more general solutions involving special functions is also investigated.
Publié le : 2005-08-29
Classification:  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{0508119,
     author = {Stachowiak, Tomasz and Szydlowski, Marek and Maciejewski, Andrzej J.},
     title = {Non-integrability of density perturbations in the FRW universe},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0508119}
}

Stachowiak, Tomasz; Szydlowski, Marek; Maciejewski, Andrzej J. Non-integrability of density perturbations in the FRW universe. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508119/